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Finding the Fourth Proportional to 42.99, 58.97 and 41.46

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Solution

The fourth proportional to 42.99, 58.97 and 41.46 is: 56.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.99 : 58.97 = 41.46 : x
  2. Step 2: Convert to fraction form
    42.99/58.97 = 41.46/x
  3. Step 3: Cross multiply
    42.99x = 58.97 × 41.46
  4. Step 4: Simplify right side
    42.99x = 2,444.69
  5. Step 5: Solve for x
    x = 2,444.69/42.99
  6. Step 6: Final answer
    x = 56.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.